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Finding the Fourth Proportional to 2,583.01, 3,874.11 and 1,121.77

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Solution

The fourth proportional to 2,583.01, 3,874.11 and 1,121.77 is: 1,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.01 : 3,874.11 = 1,121.77 : x
  2. Step 2: Convert to fraction form
    2,583.01/3,874.11 = 1,121.77/x
  3. Step 3: Cross multiply
    2,583.01x = 3,874.11 × 1,121.77
  4. Step 4: Simplify right side
    2,583.01x = 4,345,860.37
  5. Step 5: Solve for x
    x = 4,345,860.37/2,583.01
  6. Step 6: Final answer
    x = 1,682.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.